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Author ID: hochbruck.marlis Recent zbMATH articles by "Hochbruck, Marlis"
Published as: Hochbruck, Marlis; Hochbruck, M.; Hochbruk, Marlis
Homepage: https://na.math.kit.edu/about_us/people_marlis.php
External Links: MGP · Wikidata · GND

Publications by Year

Citations contained in zbMATH Open

60 Publications have been cited 2,125 times in 1,163 Documents Cited by Year
Exponential integrators. Zbl 1242.65109
Hochbruck, Marlis; Ostermann, Alexander
481
2010
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
277
1997
Exponential integrators for large systems of differential equations. Zbl 0912.65058
Hochbruck, Marlis; Lubich, Christian
224
1998
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052
Hochbruck, Marlis; Ostermann, Alexander
205
2005
A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077
Hochbruck, Marlis; Lubich, Christian
124
1999
Exponential Rosenbrock-type methods. Zbl 1193.65119
Hochbruck, Marlis; Ostermann, Alexander; Schweitzer, Julia
100
2009
Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099
Hochbruck, Marlis; Ostermann, Alexander
91
2005
Preconditioning Lanczos approximations to the matrix exponential. Zbl 1105.65051
van den Eshof, Jasper; Hochbruck, Marlis
82
2006
Error analysis of exponential integrators for oscillatory second-order differential equations. Zbl 1093.65078
Grimm, Volker; Hochbruck, Marlis
45
2006
Exponential multistep methods of Adams-type. Zbl 1237.65071
Hochbruck, Marlis; Ostermann, Alexander
41
2011
Residual, restarting, and Richardson iteration for the matrix exponential. Zbl 1278.65052
Botchev, Mike A.; Grimm, Volker; Hochbruck, Marlis
34
2013
Exponential integrators for quantum-classical molecular dynamics. Zbl 0985.81002
Hochbruck, Marlis; Lubich, Christian
32
1999
On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling. Zbl 0840.65021
Freund, Roland W.; Hochbruck, Marlis
30
1994
Preconditioned Krylov subspace methods for Lyapunov matrix equations. Zbl 0827.65048
Hochbruck, Marlis; Starke, Gerhard
25
1995
On Magnus integrators for time-dependent Schrödinger equations. Zbl 1049.65064
Hochbruck, Marlis; Lubich, Christian
24
2003
Convergence of an ADI splitting for Maxwell’s equations. Zbl 1323.78018
Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland
23
2015
Efficient time integration for discontinuous Galerkin approximations of linear wave equations [Plenary lecture presented at the 83rd annual GAMM conference, Darmstadt, 26th – 30th March, 2012]. Zbl 1322.65095
Hochbruck, Marlis; Pažur, Tomislav; Schulz, Andreas; Thawinan, Ekkachai; Wieners, Christian
22
2015
Rational approximation to trigonometric operators. Zbl 1148.65075
Grimm, V.; Hochbruck, M.
19
2008
Error analysis of a second-order locally implicit method for linear Maxwell’s equations. Zbl 1457.65111
Hochbruck, Marlis; Sturm, Andreas
18
2016
A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039
Hanke, Martin; Hochbruck, Marlis
16
1993
Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems. Zbl 0823.65023
Gutknecht, Martin H.; Hochbruck, Marlis
15
1995
Implicit Runge-Kutta methods and discontinuous Galerkin discretizations for linear Maxwell’s equations. Zbl 1312.65161
Hochbruck, Marlis; Pažur, Tomislav
15
2015
The stability of inversion formulas for Toeplitz matrices. Zbl 0835.65047
Gutknecht, Martin H.; Hochbruck, Marlis
14
1995
Report 14/2006: Geometric Numerical Integration (March 19th – March 25th, 2006). Zbl 1109.65301
11
2006
Unified error analysis for nonconforming space discretizations of wave-type equations. Zbl 1466.65135
Hipp, David; Hochbruck, Marlis; Stohrer, Christian
11
2019
On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type problems. Zbl 1427.65166
Hochbruck, Marlis; Köhler, Jonas
9
2018
Look-ahead Levinson- and Schur-type recurrences in the Padé table. Zbl 0852.41012
Gutknecht, Martin H.; Hochbruck, Marlis
9
1994
Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Zbl 1359.65171
Hochbruck, Marlis; Pažur, Tomislav
9
2017
Error analysis of Krylov methods in a nutshell. Zbl 0914.65024
Hochbruck, Marlis; Lubich, Christian
9
1998
Efficient multiple time-stepping algorithms of higher order. Zbl 1351.78053
Demirel, Abdullah; Niegemann, Jens; Busch, Kurt; Hochbruck, Marlis
8
2015
Heterogeneous multiscale method for Maxwell’s equations. Zbl 1435.78019
Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian
7
2019
An exponential integrator for non-autonomous parabolic problems. Zbl 1312.65210
Hipp, David; Hochbruck, Marlis; Ostermann, Alexander
7
2014
Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. Zbl 1404.65056
Buchholz, Simone; Gauckler, Ludwig; Grimm, Volker; Hochbruck, Marlis; Jahnke, Tobias
6
2018
On leapfrog-Chebyshev schemes. Zbl 1454.65046
Carle, Constantin; Hochbruck, Marlis; Sturm, Andreas
6
2020
Optimized look-ahead recurrences for adjacent rows in the Padé table. Zbl 0852.65025
Gutknecht, Martin H.; Hochbruck, Marlis
6
1996
On the convergence of Lawson methods for semilinear stiff problems. Zbl 1453.65269
Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander
6
2020
On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems. Zbl 1189.65114
Hochbruck, Marlis; Hönig, Michael
6
2010
A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018
Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis
5
1996
Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Zbl 1443.65204
Hochbruck, Marlis; Leibold, Jan
4
2020
Finite element heterogeneous multiscale method for time-dependent Maxwell’s equations. Zbl 1383.78039
Hochbruck, Marlis; Stohrer, Christian
4
2017
A short course on exponential integrators. Zbl 1332.65101
Hochbruck, Marlis
4
2015
A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems. Zbl 1184.65063
Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander
4
2009
A multilevel Jacobi-Davidson method for polynomial PDE eigenvalue problems arising in plasma physics. Zbl 1278.76131
Hochbruck, Marlis; Löchel, Dominik
4
2010
Error analysis for space discretizations of quasilinear wave-type equations. Zbl 1503.65230
Hochbruck, Marlis; Maier, Bernhard
4
2022
An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. Zbl 1464.65086
Hochbruck, Marlis; Leibold, Jan
3
2021
A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems. Zbl 1270.76090
Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Spatschek, K. H.
3
2008
Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell’s equations. Zbl 1462.65144
Hochbruck, Marlis; Sturm, Andreas
2
2019
Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations. Zbl 1387.65100
Hochbruck, Marlis; Pažur, Tomislav; Schnaubelt, Roland
2
2018
Regularization of nonlinear ill-posed problems by exponential integrators. Zbl 1167.65369
Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander
2
2009
One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab). Zbl 1197.82013
Liljo, Jalo; Karmakar, Anupam; Pukhov, A.; Hochbruck, M.
2
2008
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055
Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis
2
2021
Numerical solution of nonlinear wave equations in stratified dispersive media. Zbl 1092.76048
Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Laedke, E. W.; Spatschek, K. H.
2
2006
Approximation of matrix operators applied to multiple vectors. Zbl 1189.65077
Hochbruck, Marlis; Niehoff, Jörg
2
2008
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. Zbl 1497.65173
Hochbruck, Marlis; Köhler, Jonas
2
2022
Dynamical low-rank integrators for second-order matrix differential equations. Zbl 1508.65077
Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan
2
2023
Lanczos and Krylov methods for non-Hermitian linear systems. (Lanczos- und Krylov-Verfahren für nicht-Hermitesche lineare Systeme.) Zbl 0773.65018
Hochbruck, Marlis
1
1992
A biconjugate gradient-type algorithm for the iterative solution of non- Hermitian linear systems on massively parallel architectures. Zbl 0789.65020
Freund, R. W.; Hochbruck, M.
1
1992
Convergence of viscoelastic constraints to nonholonomic idealization. Zbl 1406.70014
Deppler, Jens; Braun, B.; Fidlin, Alexander; Hochbruck, Marlis
1
2016
A bunch of time integrators for quantum/classical molecular dynamics. Zbl 0966.81066
Hochbruk, Marlis; Lubich, Christian
1
1999
Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. Zbl 1460.65121
Hochbruck, Marlis; Köhler, Jonas
1
2020
Dynamical low-rank integrators for second-order matrix differential equations. Zbl 1508.65077
Hochbruck, Marlis; Neher, Markus; Schrammer, Stefan
2
2023
Error analysis for space discretizations of quasilinear wave-type equations. Zbl 1503.65230
Hochbruck, Marlis; Maier, Bernhard
4
2022
Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. Zbl 1497.65173
Hochbruck, Marlis; Köhler, Jonas
2
2022
An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions. Zbl 1464.65086
Hochbruck, Marlis; Leibold, Jan
3
2021
On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. Zbl 1460.65055
Buchholz, Simone; Dörich, Benjamin; Hochbruck, Marlis
2
2021
On leapfrog-Chebyshev schemes. Zbl 1454.65046
Carle, Constantin; Hochbruck, Marlis; Sturm, Andreas
6
2020
On the convergence of Lawson methods for semilinear stiff problems. Zbl 1453.65269
Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander
6
2020
Finite element discretization of semilinear acoustic wave equations with kinetic boundary conditions. Zbl 1443.65204
Hochbruck, Marlis; Leibold, Jan
4
2020
Error analysis of discontinuous Galerkin discretizations of a class of linear wave-type problems. Zbl 1460.65121
Hochbruck, Marlis; Köhler, Jonas
1
2020
Unified error analysis for nonconforming space discretizations of wave-type equations. Zbl 1466.65135
Hipp, David; Hochbruck, Marlis; Stohrer, Christian
11
2019
Heterogeneous multiscale method for Maxwell’s equations. Zbl 1435.78019
Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian
7
2019
Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell’s equations. Zbl 1462.65144
Hochbruck, Marlis; Sturm, Andreas
2
2019
On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type problems. Zbl 1427.65166
Hochbruck, Marlis; Köhler, Jonas
9
2018
Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. Zbl 1404.65056
Buchholz, Simone; Gauckler, Ludwig; Grimm, Volker; Hochbruck, Marlis; Jahnke, Tobias
6
2018
Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations. Zbl 1387.65100
Hochbruck, Marlis; Pažur, Tomislav; Schnaubelt, Roland
2
2018
Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations. Zbl 1359.65171
Hochbruck, Marlis; Pažur, Tomislav
9
2017
Finite element heterogeneous multiscale method for time-dependent Maxwell’s equations. Zbl 1383.78039
Hochbruck, Marlis; Stohrer, Christian
4
2017
Error analysis of a second-order locally implicit method for linear Maxwell’s equations. Zbl 1457.65111
Hochbruck, Marlis; Sturm, Andreas
18
2016
Convergence of viscoelastic constraints to nonholonomic idealization. Zbl 1406.70014
Deppler, Jens; Braun, B.; Fidlin, Alexander; Hochbruck, Marlis
1
2016
Convergence of an ADI splitting for Maxwell’s equations. Zbl 1323.78018
Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland
23
2015
Efficient time integration for discontinuous Galerkin approximations of linear wave equations [Plenary lecture presented at the 83rd annual GAMM conference, Darmstadt, 26th – 30th March, 2012]. Zbl 1322.65095
Hochbruck, Marlis; Pažur, Tomislav; Schulz, Andreas; Thawinan, Ekkachai; Wieners, Christian
22
2015
Implicit Runge-Kutta methods and discontinuous Galerkin discretizations for linear Maxwell’s equations. Zbl 1312.65161
Hochbruck, Marlis; Pažur, Tomislav
15
2015
Efficient multiple time-stepping algorithms of higher order. Zbl 1351.78053
Demirel, Abdullah; Niegemann, Jens; Busch, Kurt; Hochbruck, Marlis
8
2015
A short course on exponential integrators. Zbl 1332.65101
Hochbruck, Marlis
4
2015
An exponential integrator for non-autonomous parabolic problems. Zbl 1312.65210
Hipp, David; Hochbruck, Marlis; Ostermann, Alexander
7
2014
Residual, restarting, and Richardson iteration for the matrix exponential. Zbl 1278.65052
Botchev, Mike A.; Grimm, Volker; Hochbruck, Marlis
34
2013
Exponential multistep methods of Adams-type. Zbl 1237.65071
Hochbruck, Marlis; Ostermann, Alexander
41
2011
Exponential integrators. Zbl 1242.65109
Hochbruck, Marlis; Ostermann, Alexander
481
2010
On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems. Zbl 1189.65114
Hochbruck, Marlis; Hönig, Michael
6
2010
A multilevel Jacobi-Davidson method for polynomial PDE eigenvalue problems arising in plasma physics. Zbl 1278.76131
Hochbruck, Marlis; Löchel, Dominik
4
2010
Exponential Rosenbrock-type methods. Zbl 1193.65119
Hochbruck, Marlis; Ostermann, Alexander; Schweitzer, Julia
100
2009
A convergence analysis of the exponential Euler iteration for nonlinear ill-posed problems. Zbl 1184.65063
Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander
4
2009
Regularization of nonlinear ill-posed problems by exponential integrators. Zbl 1167.65369
Hochbruck, Marlis; Hönig, Michael; Ostermann, Alexander
2
2009
Rational approximation to trigonometric operators. Zbl 1148.65075
Grimm, V.; Hochbruck, M.
19
2008
A parallel implementation of a two-dimensional fluid laser-plasma integrator for stratified plasma-vacuum systems. Zbl 1270.76090
Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Spatschek, K. H.
3
2008
One-dimensional electromagnetic relativistic PIC-hydrodynamic hybrid simulation code H-VLPL (hybrid virtual laser plasma lab). Zbl 1197.82013
Liljo, Jalo; Karmakar, Anupam; Pukhov, A.; Hochbruck, M.
2
2008
Approximation of matrix operators applied to multiple vectors. Zbl 1189.65077
Hochbruck, Marlis; Niehoff, Jörg
2
2008
Preconditioning Lanczos approximations to the matrix exponential. Zbl 1105.65051
van den Eshof, Jasper; Hochbruck, Marlis
82
2006
Error analysis of exponential integrators for oscillatory second-order differential equations. Zbl 1093.65078
Grimm, Volker; Hochbruck, Marlis
45
2006
Report 14/2006: Geometric Numerical Integration (March 19th – March 25th, 2006). Zbl 1109.65301
11
2006
Numerical solution of nonlinear wave equations in stratified dispersive media. Zbl 1092.76048
Karle, Ch.; Schweitzer, J.; Hochbruck, M.; Laedke, E. W.; Spatschek, K. H.
2
2006
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052
Hochbruck, Marlis; Ostermann, Alexander
205
2005
Exponential Runge-Kutta methods for parabolic problems. Zbl 1070.65099
Hochbruck, Marlis; Ostermann, Alexander
91
2005
On Magnus integrators for time-dependent Schrödinger equations. Zbl 1049.65064
Hochbruck, Marlis; Lubich, Christian
24
2003
A Gautschi-type method for oscillatory second-order differential equations. Zbl 0937.65077
Hochbruck, Marlis; Lubich, Christian
124
1999
Exponential integrators for quantum-classical molecular dynamics. Zbl 0985.81002
Hochbruck, Marlis; Lubich, Christian
32
1999
A bunch of time integrators for quantum/classical molecular dynamics. Zbl 0966.81066
Hochbruk, Marlis; Lubich, Christian
1
1999
Exponential integrators for large systems of differential equations. Zbl 0912.65058
Hochbruck, Marlis; Lubich, Christian
224
1998
Error analysis of Krylov methods in a nutshell. Zbl 0914.65024
Hochbruck, Marlis; Lubich, Christian
9
1998
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032
Hochbruck, Marlis; Lubich, Christian
277
1997
Optimized look-ahead recurrences for adjacent rows in the Padé table. Zbl 0852.65025
Gutknecht, Martin H.; Hochbruck, Marlis
6
1996
A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems. Zbl 0847.65018
Fischer, Bernd; Hanke, Martin; Hochbruck, Marlis
5
1996
Preconditioned Krylov subspace methods for Lyapunov matrix equations. Zbl 0827.65048
Hochbruck, Marlis; Starke, Gerhard
25
1995
Look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems. Zbl 0823.65023
Gutknecht, Martin H.; Hochbruck, Marlis
15
1995
The stability of inversion formulas for Toeplitz matrices. Zbl 0835.65047
Gutknecht, Martin H.; Hochbruck, Marlis
14
1995
On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling. Zbl 0840.65021
Freund, Roland W.; Hochbruck, Marlis
30
1994
Look-ahead Levinson- and Schur-type recurrences in the Padé table. Zbl 0852.41012
Gutknecht, Martin H.; Hochbruck, Marlis
9
1994
A Chebyshev-like semiiteration for inconsistent linear systems. Zbl 0809.65039
Hanke, Martin; Hochbruck, Marlis
16
1993
Lanczos and Krylov methods for non-Hermitian linear systems. (Lanczos- und Krylov-Verfahren für nicht-Hermitesche lineare Systeme.) Zbl 0773.65018
Hochbruck, Marlis
1
1992
A biconjugate gradient-type algorithm for the iterative solution of non- Hermitian linear systems on massively parallel architectures. Zbl 0789.65020
Freund, R. W.; Hochbruck, M.
1
1992
all top 5

Cited by 1,438 Authors

41 Wu, Xinyuan
32 Hochbruck, Marlis
31 Ostermann, Alexander
31 Wang, Bin
27 Ju, Lili
20 Schratz, Katharina
17 Bochev, M. A.
16 Caliari, Marco
15 Iserles, Arieh
15 Khaliq, Abdul Q. M.
14 Einkemmer, Lukas
14 Simoncini, Valeria
14 Wei, Yimin
13 Luan, Vu Thai
12 Reichel, Lothar
12 Schweitzer, Marcel
12 Shi, Wei
12 Zhao, Xiaofei
11 Cai, Yongyong
11 Jimenez, Juan Carlos
11 Li, Xiao
11 Owolabi, Kolade Matthew
11 Tambue, Antoine
11 Weiner, Rüdiger
10 Bao, Weizhu
10 Cano, Begoña
10 Li, Jiyong
10 Liu, Changying
10 Lubich, Christian
10 Moret, Igor
10 Novati, Paolo
10 Qiao, Zhonghua
10 Wieners, Christian
9 Klein, Christian
9 Liu, Kai
9 Mei, Lijie
9 Sun, Haiwei
8 Blanes, Sergio
8 Garrappa, Roberto
8 Güttel, Stefan
8 Kressner, Daniel
8 Su, Chunmei
8 Turner, Ian William
8 Zhao, Jingjun
7 Bentbib, Abdeslem Hafid
7 Cassini, Fabio
7 Celledoni, Elena
7 Crouseilles, Nicolas
7 Lambers, James V.
7 Martín-Vaquero, Jesús
7 Popolizio, Marina
7 Sandu, Adrian
7 Tokman, Mayya
7 Van Barel, Marc
7 Wang, Bin
7 Xu, Yang
6 Auzinger, Winfried
6 Bhatt, Harish P.
6 Casas, Fernando
6 Grimm, Volker
6 Jahnke, Tobias
6 Kandolf, Peter
6 Koch, Othmar
6 Li, Dongping
6 Li, Ting
6 Mukam, Jean Daniel
6 Muñoz-Matute, Judit
6 Podhaisky, Helmut
6 Schmitt, Bernhard A.
6 Wade, Bruce A.
6 Wang, Yan
6 Zivcovich, Franco
5 Benzi, Michele
5 Burrage, Kevin
5 Dujardin, Guillaume Michel
5 Feng, Yue
5 Furati, Khaled M.
5 Gauckler, Ludwig J.
5 Grote, Marcus J.
5 Gu, Xian-Ming
5 Hashimoto, Yuka
5 Huang, Ting-Zhu
5 Jbilou, Khalide
5 Jiang, Yaolin
5 Leibold, Jan
5 Li, Jingwei
5 Lord, Gabriel James
5 Narayanamurthi, Mahesh
5 Nodera, Takashi
5 Pardo, David
5 Qian, Xu
5 Reguera, Nuria
5 Reynolds, Daniel R.
5 Song, Songhe
5 Stanimirović, Predrag S.
5 Szyld, Daniel B.
5 Vianello, Marco
5 Wensch, Jörg
5 Yang, Hongli
5 You, Xiong
...and 1,338 more Authors
all top 5

Cited in 178 Serials

101 Journal of Computational Physics
94 Journal of Computational and Applied Mathematics
69 Applied Numerical Mathematics
64 BIT
57 Journal of Scientific Computing
53 SIAM Journal on Scientific Computing
50 Applied Mathematics and Computation
41 SIAM Journal on Numerical Analysis
34 Computers & Mathematics with Applications
33 Numerical Algorithms
32 Linear Algebra and its Applications
30 Numerische Mathematik
24 Mathematics of Computation
21 Applied Mathematics Letters
18 SIAM Journal on Matrix Analysis and Applications
18 Numerical Linear Algebra with Applications
17 Computer Physics Communications
16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Numerical Methods for Partial Differential Equations
12 International Journal of Computer Mathematics
11 Computer Methods in Applied Mechanics and Engineering
11 Mathematics and Computers in Simulation
10 ETNA. Electronic Transactions on Numerical Analysis
10 Multiscale Modeling & Simulation
9 Calcolo
8 Computational and Applied Mathematics
8 Advances in Computational Mathematics
8 Discrete and Continuous Dynamical Systems. Series B
8 Journal of Applied Mathematics and Computing
7 Journal of Mathematical Analysis and Applications
7 Physica D
7 Communications in Nonlinear Science and Numerical Simulation
7 Foundations of Computational Mathematics
7 Communications in Computational Physics
7 East Asian Journal on Applied Mathematics
6 Japan Journal of Industrial and Applied Mathematics
5 Chaos, Solitons and Fractals
5 Journal of Computational Mathematics
5 Computational Methods in Applied Mathematics
5 Advances in Applied Mathematics and Mechanics
4 Computers and Fluids
4 Journal of Fluid Mechanics
4 Linear and Multilinear Algebra
4 Discrete and Continuous Dynamical Systems
4 GAMM-Mitteilungen
3 International Journal of Control
3 Mathematical Methods in the Applied Sciences
3 Computing
3 International Journal for Numerical Methods in Engineering
3 Numerical Functional Analysis and Optimization
3 Pattern Recognition
3 SIAM Review
3 Mathematical Problems in Engineering
3 Journal of Numerical Mathematics
3 Mediterranean Journal of Mathematics
3 Networks and Heterogeneous Media
2 International Journal for Numerical Methods in Fluids
2 Journal of Engineering Mathematics
2 Nonlinearity
2 Physics Letters. A
2 Bulletin of Mathematical Biology
2 Applied Mathematical Modelling
2 Journal of Nonlinear Science
2 Journal of Difference Equations and Applications
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Journal of Evolution Equations
2 Journal of Applied Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Acta Numerica
2 Oberwolfach Reports
2 Discrete and Continuous Dynamical Systems. Series S
2 Statistics and Computing
2 Journal of Theoretical Biology
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 International Journal of Applied and Computational Mathematics
1 Analysis Mathematica
1 Communications in Mathematical Physics
1 Inverse Problems
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Journal of the Mechanics and Physics of Solids
1 The Mathematical Gazette
1 Physica A
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 ACM Transactions on Mathematical Software
1 The Annals of Probability
1 Dissertationes Mathematicae
1 Integral Equations and Operator Theory
1 Journal of the American Statistical Association
1 SIAM Journal on Control and Optimization
1 Theoretical Population Biology
1 Systems & Control Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Journal of the Nigerian Mathematical Society
...and 78 more Serials
all top 5

Cited in 44 Fields

1,052 Numerical analysis (65-XX)
373 Partial differential equations (35-XX)
153 Ordinary differential equations (34-XX)
121 Linear and multilinear algebra; matrix theory (15-XX)
83 Fluid mechanics (76-XX)
63 Dynamical systems and ergodic theory (37-XX)
63 Optics, electromagnetic theory (78-XX)
52 Probability theory and stochastic processes (60-XX)
51 Quantum theory (81-XX)
32 Operator theory (47-XX)
29 Computer science (68-XX)
25 Biology and other natural sciences (92-XX)
23 Statistical mechanics, structure of matter (82-XX)
22 Mechanics of deformable solids (74-XX)
22 Systems theory; control (93-XX)
18 Approximations and expansions (41-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Geophysics (86-XX)
13 Mechanics of particles and systems (70-XX)
12 Real functions (26-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
11 Integral equations (45-XX)
9 Information and communication theory, circuits (94-XX)
8 Combinatorics (05-XX)
8 Statistics (62-XX)
8 Operations research, mathematical programming (90-XX)
7 Classical thermodynamics, heat transfer (80-XX)
5 Special functions (33-XX)
3 Topological groups, Lie groups (22-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Functional analysis (46-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 General and overarching topics; collections (00-XX)
2 Differential geometry (53-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
1 Associative rings and algebras (16-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Mathematics education (97-XX)

Citations by Year

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